Answer:
x = -15/2 or -7.5
Step-by-step explanation:
6x - 4(x - 9) = 2(3 - x)
6x - 4x + 36 = 6 - 2x
2x + 36 = 6 - 2x
4x + 36 = 6
4x = -30
x = -30/4
x = -15/2
Check:
6(-7.5) + -4(-7.5 - 9) = 2(3 + 7.5)
-45 + 66 = 2(10.5)
21 = 21
Answer:
[tex]-\frac{15}{2}[/tex]
Step-by-step explanation:
6x-4(x-9)=2(3-x)
6x-4x+36=6-2x (expansion)
2x+36=6-2x (collecting like terms)
2x+2x=6-36
4x=-30 (-30/4)
x=-[tex]-\frac{15}{2}[/tex]
A fishing boat with two people on it runs out of gas while out in a bay. The people set off an emergency flare from a height of 2 meters above the water. The flare has an initial vertical velocity og 30 meters per second. How long does it take the flare to reach its maximum height? What is that height?
Answer:
Step-by-step explanation:
time taken to reach the max height is expressed according to the projectile equation;
tmax = u/g
Given u = 30m/s
g is the acceleration due to gravity = 9.81
t = 30/9.81
t = 3.0secs
hence it will take the flare 3.06secs to reach its maximum height.
Max height = u²/2g
Max height = 30²/2(9.81)
Max height = 900/19.62
Max height = 45.87m
If the people set off an emergency flare from a height of 2 meters above the water, the total height will be 45.87 + 2 = 47.87m
A fruit bowl contains 2 bananas, 5 oranges, and 4 apples.
Carol wrote the ratio 511. What could Carol’s ratio represent? Explain your reasoning based upon what you know about ratios.
Answer:
Oranges: to all fruit in the bowl.
Step-by-step explanation:
A ratio is similar to a fraction in the way that it represents a part to a whole.
There are 11 fruits total in the bowl (the whole), and oranges are the only fruit in the bowl that equal 5 (the part).
Answer:
Step-by-step explanation:
Oranges: to all fruit in the bowl.
Step-by-step explanation:
A ratio is similar to a fraction in the way that it represents a part to a whole.
There are 11 fruits total in the bowl (the whole), and oranges are the only fruit in the bowl that equal 5 (the part).
Shannon's little brother is 7 weeks old. She is exactly
3 years and 3 days older than he is. How old is Shannon in days?
Assume that a year is 365 days.
Answer:
1147 days
Step-by-step explanation:
3x365= 1095
7x7=49
1095+49+3=1147
0.333 repeating times 15. Please help me out and answer this question.
Answer:
4.995
Step-by-step explanation:
6(x-2=4(x+3) what does x equal
Hey mate here is your answer.
➛ 6(x-2) = 4(x+3)
➛ 6x-12 = 4x + 12
➛ 6x - 4x = 12 + 12
➛ 2x = 24
➛ x = [tex] \frac{24}{2} [/tex]
⛬ x = 12
Which of the following points are correct for the equation (multiple answers)
Y = 3x + 2
(-1, -3)
(0,5)
(1,5)
(2-3)
Answer:
1,5 is your answer
Y=5 and X=1
Insert it in the equation
5=3(1)+2
5=3+2
5=5
Hence proved!
Drag numbers to complete the table for missing values of x, x2, and x3.
Answer:
Values are:
x x²
10 100
5
brainly wont lemme do nun
Answer:
why tho bro bro
Step-by-step explanation:
why tho bro bro
which two ratios quantities that are proportional
A. 9/5 and 19/10
B. 25/25 and 20/24
C. 4/6 and 10/16
D. 15/10 and 21/14
Answer:
A
Step-by-step explanation:
9/5 and 19/10 so yeah hope it helps
Answer:
C. 15/10 and 21/14
Explanation:
A P E X
the Venn diagram is shown below
n(A), n(B) and n(AnB) are given and n(AUB)'s complement is asked.
help show work
assig 8
(a)solve the inequality
(b)graph the solution on the real number line.
(c)write the solution in interval notation.
29
30
31
32
33
Answer: see below
Step-by-step explanation:
29) -5x ≥ 30
÷ -5 ↓ ÷ -5
x ≤ -6
Graph: ←--------- ·
-6
Interval Notation: (-∞, 6]
30) -4x < -40
÷ -4 ↓ ÷ -4
x > 10
Graph: o---------→
10
Interval Notation: (10, ∞)
31) 2x - 5 ≥ -11
+5 +5
2x ≥ -6
÷ 2 ÷ 2
x ≥ -3
Graph: · ---------→
-3
Interval Notation: [-3, ∞)
32) 8 - 3x > 20
-8 -8
-3x > 12
÷ -3 ↓ ÷ -3
x < -4
Graph: ←---------o
-4
Interval Notation: (-∞, -4)
33) 4x - 11 < 7x + 4
-7x -7x
-3x - 11 < 4
+ 11 +11
-3x < 15
÷ -3 ↓ ÷ -3
x > -5
Graph: o---------→
-5
Interval Notation: (-5, ∞)
PLZ HELP ME
In 2001, gold was priced at (0.5x + 300) dollars per ounce. Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to 2 3 of the price in 2011.
• Write an expression for the price of gold per ounce in 2016.
• Explain how you found the expression.
Answer:
[tex]2x + 1200[/tex]
Step-by-step explanation:
[tex].5x + 300 \\ 3(.5x + 300) = 1.5x + 900\\ 2(1.5x + 900) = 3x + 1800 \\ \frac{2}{3} (3x + 1800) = 2x + 1200[/tex]
Each new line represents the change stated in the question.
Two pounds of grapes cost $6. How many pounds of grapes can
you get for $1? (hint: write a repeating decimal as a fraction)
Answer:
1/3 of a pound .333
Step-by-step explanation:
6/2 =3
1/3= .333
Answer:
1/3 to 1 and 1 to 3
Step-by-step explanation:
LOOK AT THE IMAGE ABOVE AND SOLVE IT FOR TWO DIFFERENT WAYS!! Please help its due today!
Answer:
Step-by-step explanation:
Ist method - Area of the triangle + Area of the trapezium
Area of triangle = 1/2 × b × h
here, b = 8 cm but h is not given
so we will find h by pythagoras theorem
AC^2 = AB^2 + BC^2
10^2 = 8^2 + BC^2
100 = 64 + BC^2
BC^2 = 36
BC = √36
BC = 6
∴ h = 6cm
area of triangle = 1/2 × b × h
= 1/2 × 8 × 6
= 24 cm^2
Area of trapezium = 1/2 ( a + b ) h
Here a = 13cm
b = 25 - 8 = 17 cm
h = 6 cm
So area = 1/2 ( a + b ) h
= 1/2 ( 13 + 17 ) 6
= 90 cm^2
So total area = Area of the triangle + Area of the trapezium
= 24 cm^2 + 90 cm^2 = 114 cm^2
2nd method - Area of the entire figure
Since the figure is a trapezium,
Area of trapezium = 1/2 ( a + b ) h
here, a = 13cm
b = 25 cm
h = 6 cm
Area of trapezium = 1/2 ( a + b ) h
= 1/2 ( 13 + 25 ) 6
= 114 cm^2
Hope this helps
plz mark as brainliest!!!!!!!!!!
answer:
not a very clear diagram sorry luv but i just cant really see the question <3
step-by-step explanation:
HELP PLS
BRAINLIEST IF CORRECT
Answer:
I think it would be 1 and 3
Step-by-step explanation:
The correct answer is the first, second, and third.
1st Option-
This is pretty simple if you understand how a number line works. All the numbers on the right side are greater no matter what.
2nd Option -
All numbers on all sides could be rational, as we don't know what kind of number line this is.
3rd Option-
This is also correct because like the previous statement, the number line is unknown. We could have repeating numbers as long as the ones on the left side are less than the ones on the right.
4th Option -
This is incorrect because no matter what number line you have, the numbers on the left side are ALWAYS less than the ones on the right.
PLSS HELPP
Choose the equation for the line in slope-intercept form.
A y=2x+3
B y=1/2x+3
C y=1/2x−3
D y=−1/2x−3
Answer:
C or D, they look the same
Step-by-step explanation:
1. The graph passes through (2, -4) and (6, 0). You can use the rise over run formula to find the slope, so if you were to use the line to draw a triangle it would go to the right 2 spaces and up 1. Therefore the slope is 1/2.
2. Then you just need to see where the line crosses the y-axis (the vertical line). You can see here that it crosses at (0, -3).
3. Writing it in slope-intercept form is y = mx + (or -) b. Soooooo it would be y = 1/2x -3.
I hope this helped!
What is the average rate of change in height over the entire 5 seconds?
Answer:“To get the average rate of change between 2 points...” To get the average rate of change between 2 points, plug in their coordinate values into the equation (y2-y1)/(x2-x1). The values come from the points (x1,y1) and (x2,y2).
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through (-2,5) and (-4,-5)
Answer:
so the slope-intercept form is y=mx+b
so your's is....
y= 5x +15
Step-by-step explanation:
Hope this helps!!
The equation of the line that passes through (-2,5) and (-4,-5) is y = 5x + 15 in the slope-intercept form of the line.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The line that passes through (-2,5) and (-4,-5)
The equation of the line can be calculated as follows:
y + 5 = (-5 - 5)/(-4+2)[x + 4]
y + 5 = 10/2[ x + 4]
y = 5x + 20 - 5
y = 5x + 15
Thus, the equation of the line that passes through (-2,5) and (-4,-5) is y = 5x + 15 in the slope-intercept form of the line.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
Add my snaq k1nglean if anyone wants to ttrade you gotta be 16+
HELP PLEASEEEE!!
Choose the equation with the correct grouping symbols.
A. 45 + 45 ÷ (3 ÷ 3) = 20
B. 45 + [45 ÷ (3 ÷ 3)] = 20
C. [45 + (45 ÷ 3)] ÷ 3 = 20
D. 45 + (45 + 3 ÷ 3) = 20
Answer:
C
Step-by-step explanation:
(45+(15))/3=20
Jayvon has 33.6 points in a competition. He loses 5.5 points,
Write and then evaluate an addition expression to determine Jayvon's current points.
Answer:
33.6+(-5.5)=28.1
Step-by-step explanation:
Since positive times negative is equal to negative, we can multiply -5.5 by an addition symbol, making it an addition problem, and making it the same expression.
To evaluate the expression, we can do 33.6-5.5.
When adding or subtraction decimals, write it stacked like a normal problem, and line up the decimal places, like so.
33.6-
5.5
Then you can subtract normally, getting 28.1
if 3n-4=8 then what is the value of 5n-3
Answer:
17
Step-by-step explanation:
Given
3n - 4 = 8 ( add 4 to both sides )
3n = 12 ( divide both sides by 3 )
n = 4
Thus
5n - 3 = 5(4) - 3 = 20 - 3 = 17
What is the measure of angle F?
A. Cannot be determined
B. 65°
C. 55°
D. 75°
Answer:
65 degrees since both opposite sides are 10
Answer:
65 degrees
Step-by-step explanation:
Just took the test
When three points lie on the same line
Which of the following equations demonstrate the multiplication property of equality for the equation x = 2? Check al
that apply.
x(3) = 2(4)
x(5) = 10
11.5) = 2(2)
x(0.5) = 2(0.5)
x(12) = 12
Answer:
the 2nd and 4th i think
Step-by-step explanation:
Please HELP!!!!!!!!!!!!!!!!
Answer:
sum = (180)(20) = 3600
Step-by-step explanation:
First...
(n-2)180˚ = Sum Of Interior Angles or SOIA
So...
(22-2)180 = SOIA
Then...
20*180 = SOIA
Finally...
3600 = SOIA
Jay bought a painting on sale for 45% off the original price, for $27. What was the price of the painting before the sale?
Answer:
0.55x = $27
Step-by-step explanation:
Let the price of the painting = x
x - 45% of x = $27
x - 0.45x = $27
0.55x = $27
Divide both sides by 0.55
0.55x/0.55 = $27/0.55
x = $49.09
1.
p: you pass the class
q: you go to the next grade
p -> ~q:_______________________________
~p->~q:_______________________________
Answer:
P is you pass the class, so it's the hypothesis in the conditional. And Q is the conclusion, which ic you got to the next grade.
Step-by-step explanation:
In order to got to the next grade, you need to pass the class.
or
If you pass the class, you go to the next grade.
39
Which statement is true of the numbers
and -0.328?
6 Which equ
rational nu
А
0.33.
A Only 39 is rational.
B
0.33
B
Only -0.328 is rational.
C 0.35
Both numbers are rational.
D 0.3
Both numbers are not rational.
Are the lines parallel? y = x + 4 and y = x-2
A. yes, they have the same slope and a different y-intercept
B. no, they are not parallel
Answer:
A
Step-by-step explanation:
Remember that parallel lines have the same slope.
The y-intercept does not matter.
We have the two equations:
[tex]y=x+4[/tex]
And:
[tex]y=x-2[/tex]
The slope is the coefficient in front of the x.
In the first equation, we can rewrite it as:
[tex]y=(1)x+4[/tex]
Therefore, the slope of the first equation is 1.
Similarly, for the second equation, we can rewrite it as:
[tex]y=(1)x-2[/tex]
The slope of the second equation is also 1.
Therefore, since their slopes are equivalent, they are parallel.
Thus, our correct answer is A.